In a coffee shop, coffee is served in two types of cups. One is cylindrical in shape with diameter 7 cm and height 14 cm and the other is hemispherical with diameter 21 cm.?

Question

Answer

Types of Cups

There are two types of cups used for serving coffee in the coffee shop. One type is cylindrical in shape, while the other type is hemispherical.

Cylindrical Cup

The cylindrical cup has a diameter of 7 cm and a height of 14 cm.

Shape

The shape of the cylindrical cup is characterized by its curved sides and a flat circular base and top.

Volume

To calculate the volume of the cylindrical cup, we can use the formula:

Volume = π * r^2 * h

Where π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the circular base (half of the diameter), and h is the height of the cup.

Substituting the given values, we get:

Volume = 3.14159 * (7/2)^2 * 14 = 3.14159 * 3.5^2 * 14 ≈ 539.93 cm^3

Hemispherical Cup

The hemispherical cup has a diameter of 21 cm.

Shape

The shape of the hemispherical cup resembles half of a sphere, with a curved surface and a flat circular base.

Volume

The volume of a hemisphere can be calculated using the formula:

Volume = (2/3) * π * r^3

Where r is the radius of the hemisphere (half of the diameter).

Substituting the given values, we get:

Volume = (2/3) * 3.14159 * (21/2)^3 = (2/3) * 3.14159 * 10.5^3 ≈ 1549.88 cm^3

Conclusion

In conclusion, the coffee shop offers two types of cups for serving coffee: cylindrical cups with a volume of approximately 539.93 cm^3 and hemispherical cups with a volume of approximately 1549.88 cm^3. The choice of cup depends on personal preference and the quantity of coffee desired.

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